SOLUTION: Rosa works due north of home. Her husband Ray works due east. They leave for work at the same time. By the time Rosa is 5 miles from home, the distance between them is one mile mor

Algebra ->  Finance -> SOLUTION: Rosa works due north of home. Her husband Ray works due east. They leave for work at the same time. By the time Rosa is 5 miles from home, the distance between them is one mile mor      Log On


   

Question 1010435: Rosa works due north of home. Her husband Ray works due east. They leave for work at the same time. By the time Rosa is 5 miles from home, the distance between them is one mile more more than Ray's distance from home. How far from home is Rosa?
Answer by stanbon(75887) About Me  (Show Source):
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Rosa works due north of home. Her husband Ray works due east. They leave for work at the same time. By the time Rosa is 5 miles from home, the distance between them is one mile more more than Ray's distance from home. How far from home is Rosa?
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Sketch the picture::
You have a right triangle with----
Rosa's distance = north leg = 5 miles
Ray's distance = east leg = x miles
hypotenuse = x+1 miles
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Solve for "x"::
x^2 + 5^2 = (x+1)^2
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x^2 + 25 = x^2 + 2x + 1
2x+1 = 25
2x = 24
x = 12 (Rays's distance from home)
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Cheers,
Stan H.
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